Question

Use the following function rule to find h(2y+6). Simplify your answer.

h(u)=
-
9u–3
h(2y+6)=

Answer 1

Value of h(2y+6) = -18y -57

Explanation:

Given the function rule:

h(u) = -9u -3 ......[1]

To find h(2y+6)

Substitute u = 2y + 6 in [1] we get;

h(2y+6) = -9(2y+6) - 3

Using distributive property:
`a\cdot (b+c) = a\cdot b + a\cdot c`

h(2y+6) = - 18y - 54 - 3 = -18y - 57

Therefore, the value of
`h(2y+6) = -18y - 57`